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Finding the Third Proportional to 1,497,204,783 and 3,338,664,750

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Solution

The third proportional to 1,497,204,783 and 3,338,664,750 is: 7,444,995,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,204,783 : 3,338,664,750 = 3,338,664,750 : x
  2. Step 2: Convert to fraction form
    1,497,204,783/3,338,664,750 = 3,338,664,750/x
  3. Step 3: Cross multiply
    1,497,204,783x = 3,338,664,750 × 3,338,664,750
  4. Step 4: Simplify right side
    1,497,204,783x = 11,146,682,312,892,563,456
  5. Step 5: Solve for x
    x = 11,146,682,312,892,563,456/1,497,204,783
  6. Step 6: Final answer
    x = 7,444,995,126.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.